{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part 2, XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda3\\lib\\site-packages\\sklearn\\cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
      "  \"This module will be removed in 0.20.\", DeprecationWarning)\n",
      "C:\\Anaconda3\\lib\\site-packages\\sklearn\\grid_search.py:43: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. This module will be removed in 0.20.\n",
      "  DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "import xgboost as xgb\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import pickle\n",
    "import sys\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import mean_absolute_error, make_scorer\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.grid_search import GridSearchCV\n",
    "from scipy.sparse import csr_matrix, hstack\n",
    "from sklearn.cross_validation import KFold, train_test_split\n",
    "from xgboost import XGBRegressor\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "# This may raise an exception in earlier versions of Jupyter\n",
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这部分主要内容就是Xgboost啦"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据预处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train = pd.read_csv('train.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "做对数转换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train['log_loss'] = np.log(train['loss'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据分成连续和离散特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Categorical features: 116\n",
      "Numerical features: 14\n"
     ]
    }
   ],
   "source": [
    "features = [x for x in train.columns if x not in ['id','loss', 'log_loss']]\n",
    "\n",
    "cat_features = [x for x in train.select_dtypes(\n",
    "        include=['object']).columns if x not in ['id','loss', 'log_loss']]\n",
    "num_features = [x for x in train.select_dtypes(\n",
    "        exclude=['object']).columns if x not in ['id','loss', 'log_loss']]\n",
    "\n",
    "print (\"Categorical features:\", len(cat_features))\n",
    "print (\"Numerical features:\", len(num_features))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And use a label encoder for categorical features:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Xtrain: (188318, 130)\n",
      "ytrain: (188318,)\n"
     ]
    }
   ],
   "source": [
    "ntrain = train.shape[0]\n",
    "\n",
    "train_x = train[features]\n",
    "train_y = train['log_loss']\n",
    "\n",
    "for c in range(len(cat_features)):\n",
    "    train_x[cat_features[c]] = train_x[cat_features[c]].astype('category').cat.codes\n",
    "    \n",
    "print (\"Xtrain:\", train_x.shape)\n",
    "print (\"ytrain:\", train_y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple XGBoost Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "首先，我们训练一个基本的xgboost模型，然后进行参数调节通过交叉验证来观察结果的变换，使用平均绝对误差来衡量\n",
    "\n",
    "mean_absolute_error(np.exp(y), np.exp(yhat))。\n",
    "\n",
    "\n",
    "xgboost 自定义了一个数据矩阵类 DMatrix，会在训练开始时进行一遍预处理，从而提高之后每次迭代的效率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def xg_eval_mae(yhat, dtrain):\n",
    "    y = dtrain.get_label()\n",
    "    return 'mae', mean_absolute_error(np.exp(y), np.exp(yhat))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dtrain = xgb.DMatrix(train_x, train['log_loss'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Xgboost参数\n",
    "- 'booster':'gbtree',\n",
    "- 'objective': 'multi:softmax', 多分类的问题\n",
    "- 'num_class':10, 类别数，与 multisoftmax 并用\n",
    "- 'gamma':0.1,  用于控制是否后剪枝的参数,越大越保守，一般0.1、0.2这样子。\n",
    "- 'max_depth':12, 构建树的深度，越大越容易过拟合\n",
    "- 'lambda':2,  控制模型复杂度的权重值的L2正则化项参数，参数越大，模型越不容易过拟合。\n",
    "- 'subsample':0.7, 随机采样训练样本\n",
    "- 'colsample_bytree':0.7, 生成树时进行的列采样\n",
    "- 'min_child_weight':3, 孩子节点中最小的样本权重和。如果一个叶子节点的样本权重和小于min_child_weight则拆分过程结束\n",
    "- 'silent':0 ,设置成1则没有运行信息输出，最好是设置为0.\n",
    "- 'eta': 0.007, 如同学习率\n",
    "- 'seed':1000,\n",
    "- 'nthread':7, cpu 线程数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "xgb_params = {\n",
    "    'seed': 0,\n",
    "    'eta': 0.1,\n",
    "    'colsample_bytree': 0.5,\n",
    "    'silent': 1,\n",
    "    'subsample': 0.5,\n",
    "    'objective': 'reg:linear',\n",
    "    'max_depth': 5,\n",
    "    'min_child_weight': 3\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用交叉验证 `xgb.cv` "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CV score: 1218.92834467\n",
      "Wall time: 1min 6s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "\n",
    "        \n",
    "\n",
    "bst_cv1 = xgb.cv(xgb_params, dtrain, num_boost_round=50, nfold=3, seed=0, \n",
    "                feval=xg_eval_mae, maximize=False, early_stopping_rounds=10)\n",
    "\n",
    "print ('CV score:', bst_cv1.iloc[-1,:]['test-mae-mean'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们得到了第一个基准结果：MAE＝1218.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2304da290b8>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2304db8a358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EJKhUbBARERERERGRoFKxQURERERERESCSsUGEREREREREQkqFRtERERERERE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/w+Wfgw/tXsPX5vZo+bze6jdqe6qrrP3puk7hk2VADDBkmSJA0U7QHEww93hBCPPgovvZRXqWoL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\nVSYLJwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2304dbdf978>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 356,
       "width": 525
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "bst_cv1[['train-mae-mean', 'test-mae-mean']].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 我们的第一个基础模型：\n",
    "\n",
    "* 没有发生过拟合\n",
    "* 只建立了50个树模型\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CV score: 1171.13663733\n",
      "Wall time: 1min 57s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "#建立100个树模型\n",
    "bst_cv2 = xgb.cv(xgb_params, dtrain, num_boost_round=100, \n",
    "                nfold=3, seed=0, feval=xg_eval_mae, maximize=False, \n",
    "                early_stopping_rounds=10)\n",
    "\n",
    "print ('CV score:', bst_cv2.iloc[-1,:]['test-mae-mean'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2300005af28>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/d5l5aatCmfkn4I/Vw6l0WJY5Ig4Gtqoe3gd8u/um99RJQGPZkjnAEe0KRsR0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3finltzyQYLCze/6fgAa5zxF34uLkk5MqWpVatW9OrVi1atWqUdipRJrkEpfa5DKV2uQSl97slI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\ndZbtlz9fzZmy/YVT6bBzUWngZz+lieNdaeJ4V5rM9ngPAVavTso114w8FiM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rs/UtoYH5UkSZIkSaqfRo6PutKmJEmSJEmSJEmSJEmSJEnSLDBpU5IkSZIkSZIkSZIkSZIk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\nuAj4B+BCao/1b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      "text/plain": [
       "<matplotlib.figure.Figure at 0x2304db73c50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 390,
       "width": 1334
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1,2)\n",
    "fig.set_size_inches(16,4)\n",
    "\n",
    "ax1.set_title('100 rounds of training')\n",
    "ax1.set_xlabel('Rounds')\n",
    "ax1.set_ylabel('Loss')\n",
    "ax1.grid(True)\n",
    "ax1.plot(bst_cv2[['train-mae-mean', 'test-mae-mean']])\n",
    "ax1.legend(['Training Loss', 'Test Loss'])\n",
    "\n",
    "ax2.set_title('60 last rounds of training')\n",
    "ax2.set_xlabel('Rounds')\n",
    "ax2.set_ylabel('Loss')\n",
    "ax2.grid(True)\n",
    "ax2.plot(bst_cv2.iloc[40:][['train-mae-mean', 'test-mae-mean']])\n",
    "ax2.legend(['Training Loss', 'Test Loss'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有那么一丁丁过拟合，现在还没多大事\n",
    "\n",
    "我们得到了新的纪录 **MAE = 1171.77** 比第一次的要好 (1218.9). 接下来我们要改变其他参数了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## XGBoost 参数调节"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Step 1: 选择一组初始参数\n",
    "\n",
    "\n",
    "* Step 2: 改变 `max_depth` 和 `min_child_weight`.\n",
    "\n",
    "\n",
    "* Step 3: 调节 `gamma` 降低模型过拟合风险.\n",
    "\n",
    "\n",
    "* Step 4: 调节 `subsample` 和 `colsample_bytree` 改变数据采样策略.\n",
    "\n",
    "\n",
    "* Step 5: 调节学习率 `eta`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class XGBoostRegressor(object):\n",
    "    def __init__(self, **kwargs):\n",
    "        self.params = kwargs\n",
    "        if 'num_boost_round' in self.params:\n",
    "            self.num_boost_round = self.params['num_boost_round']\n",
    "        self.params.update({'silent': 1, 'objective': 'reg:linear', 'seed': 0})\n",
    "        \n",
    "    def fit(self, x_train, y_train):\n",
    "        dtrain = xgb.DMatrix(x_train, y_train)\n",
    "        self.bst = xgb.train(params=self.params, dtrain=dtrain, num_boost_round=self.num_boost_round,\n",
    "                             feval=xg_eval_mae, maximize=False)\n",
    "        \n",
    "    def predict(self, x_pred):\n",
    "        dpred = xgb.DMatrix(x_pred)\n",
    "        return self.bst.predict(dpred)\n",
    "    \n",
    "    def kfold(self, x_train, y_train, nfold=5):\n",
    "        dtrain = xgb.DMatrix(x_train, y_train)\n",
    "        cv_rounds = xgb.cv(params=self.params, dtrain=dtrain, num_boost_round=self.num_boost_round,\n",
    "                           nfold=nfold, feval=xg_eval_mae, maximize=False, early_stopping_rounds=10)\n",
    "        return cv_rounds.iloc[-1,:]\n",
    "    \n",
    "    def plot_feature_importances(self):\n",
    "        feat_imp = pd.Series(self.bst.get_fscore()).sort_values(ascending=False)\n",
    "        feat_imp.plot(title='Feature Importances')\n",
    "        plt.ylabel('Feature Importance Score')\n",
    "        \n",
    "    def get_params(self, deep=True):\n",
    "        return self.params\n",
    " \n",
    "    def set_params(self, **params):\n",
    "        self.params.update(params)\n",
    "        return self"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def mae_score(y_true, y_pred):\n",
    "    return mean_absolute_error(np.exp(y_true), np.exp(y_pred))\n",
    "\n",
    "mae_scorer = make_scorer(mae_score, greater_is_better=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "bst = XGBoostRegressor(eta=0.1, colsample_bytree=0.5, subsample=0.5, \n",
    "                       max_depth=5, min_child_weight=3, num_boost_round=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "test-mae-mean     1219.014551\n",
       "test-mae-std         8.931061\n",
       "train-mae-mean    1210.682813\n",
       "train-mae-std        2.798608\n",
       "Name: 49, dtype: float64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bst.kfold(train_x, train_y, nfold=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 1: 学习率与树个数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 2: 树的深度与节点权重"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些参数对xgboost性能影响最大，因此，他们应该调整第一。我们简要地概述它们：\n",
    "\n",
    "\n",
    "* `max_depth`: 树的最大深度。增加这个值会使模型更加复杂，也容易出现过拟合，深度3-10是合理的。\n",
    "\n",
    "* `min_child_weight`: 正则化参数. 如果树分区中的实例权重小于定义的总和，则停止树构建过程。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[4, 5, 6, 7, 8]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xgb_param_grid = {'max_depth': list(range(4,9)), 'min_child_weight': list((1,3,6))}\n",
    "xgb_param_grid['max_depth']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 29min 48s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    " \n",
    "grid = GridSearchCV(XGBoostRegressor(eta=0.1, num_boost_round=50, colsample_bytree=0.5, subsample=0.5),\n",
    "                param_grid=xgb_param_grid, cv=5, scoring=mae_scorer)\n",
    "\n",
    "grid.fit(train_x, train_y.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([mean: -1243.19015, std: 6.70264, params: {'max_depth': 4, 'min_child_weight': 1},\n",
       "  mean: -1243.30647, std: 6.82365, params: {'max_depth': 4, 'min_child_weight': 3},\n",
       "  mean: -1243.50752, std: 6.60994, params: {'max_depth': 4, 'min_child_weight': 6},\n",
       "  mean: -1219.60926, std: 7.09979, params: {'max_depth': 5, 'min_child_weight': 1},\n",
       "  mean: -1218.72940, std: 6.82721, params: {'max_depth': 5, 'min_child_weight': 3},\n",
       "  mean: -1219.25033, std: 6.89855, params: {'max_depth': 5, 'min_child_weight': 6},\n",
       "  mean: -1204.68929, std: 6.28730, params: {'max_depth': 6, 'min_child_weight': 1},\n",
       "  mean: -1203.44649, std: 7.19550, params: {'max_depth': 6, 'min_child_weight': 3},\n",
       "  mean: -1203.76522, std: 7.13140, params: {'max_depth': 6, 'min_child_weight': 6},\n",
       "  mean: -1195.35465, std: 6.38664, params: {'max_depth': 7, 'min_child_weight': 1},\n",
       "  mean: -1194.02729, std: 6.69778, params: {'max_depth': 7, 'min_child_weight': 3},\n",
       "  mean: -1193.51933, std: 6.73645, params: {'max_depth': 7, 'min_child_weight': 6},\n",
       "  mean: -1189.10977, std: 6.18540, params: {'max_depth': 8, 'min_child_weight': 1},\n",
       "  mean: -1188.21520, std: 6.15132, params: {'max_depth': 8, 'min_child_weight': 3},\n",
       "  mean: -1187.95975, std: 6.71340, params: {'max_depth': 8, 'min_child_weight': 6}],\n",
       " {'max_depth': 8, 'min_child_weight': 6},\n",
       " -1187.9597499123447)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid.grid_scores_, grid.best_params_, grid.best_score_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "网格搜索发现的最佳结果:\n",
    "\n",
    "`{'max_depth': 8, 'min_child_weight': 6},\n",
    " -1187.9597499123447)`\n",
    " \n",
    "设置成负的值是因为要找大的值\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def convert_grid_scores(scores):\n",
    "    _params = []\n",
    "    _params_mae = []    \n",
    "    for i in scores:\n",
    "        _params.append(i[0].values())\n",
    "        _params_mae.append(i[1])\n",
    "    params = np.array(_params)\n",
    "    grid_res = np.column_stack((_params,_params_mae))\n",
    "    return [grid_res[:,i] for i in range(grid_res.shape[1])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "_,scores =  convert_grid_scores(grid.grid_scores_)\n",
    "scores = scores.reshape(5,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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R2Hb3oySHnjLgoiiAl00ioPppd9+fI93ngF3RehMlDKzmUSn36hRmNhX4D+DE6K0NhIcl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pc1KjN48GAWLFhAbm4ukyZNisrSO0eOHGHRokUEAgHefPPNxgXi4kgfPZKsnGwyJk0gPiXye4mI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f68FxOhYRi4Av1w+XAi/PzIE2bbcCPkmVDh/IzMVdnjOA04FX1Mf6MvA5qnVGZgNPBt4L/A3w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\nkiSpKP8filTQ09Fsa5IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2300007a240>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 468,
       "width": 799
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "cp = plt.contourf(xgb_param_grid['min_child_weight'], xgb_param_grid['max_depth'], scores, cmap='BrBG')\n",
    "plt.colorbar(cp)\n",
    "plt.title('Depth / min_child_weight optimization')\n",
    "plt.annotate('We use this', xy=(5.95, 7.95), xytext=(4, 7.5), arrowprops=dict(facecolor='white'), color='white')\n",
    "plt.annotate('Good for depth=7', xy=(5.98, 7.05), \n",
    "             xytext=(4, 6.5), arrowprops=dict(facecolor='white'), color='white')\n",
    "plt.xlabel('min_child_weight')\n",
    "plt.ylabel('max_depth')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们看到，从网格搜索的结果，分数的提高主要是基于max_depth增加.\n",
    "min_child_weight稍有影响的成绩，但是，我们看到，min_child_weight = 6会更好一些。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 3: 调节 gamma去降低过拟合风险"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 13min 45s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "xgb_param_grid = {'gamma':[ 0.1 * i for i in range(0,5)]}\n",
    "\n",
    "grid = GridSearchCV(XGBoostRegressor(eta=0.1, num_boost_round=50, max_depth=8, min_child_weight=6,\n",
    "                                        colsample_bytree=0.5, subsample=0.5),\n",
    "                    param_grid=xgb_param_grid, cv=5, scoring=mae_scorer)\n",
    "\n",
    "grid.fit(train_x, train_y.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([mean: -1187.95975, std: 6.71340, params: {'gamma': 0.0},\n",
       "  mean: -1187.67788, std: 6.44332, params: {'gamma': 0.1},\n",
       "  mean: -1187.66616, std: 6.75004, params: {'gamma': 0.2},\n",
       "  mean: -1187.21835, std: 7.06771, params: {'gamma': 0.30000000000000004},\n",
       "  mean: -1188.35004, std: 6.50057, params: {'gamma': 0.4}],\n",
       " {'gamma': 0.30000000000000004},\n",
       " -1187.2183540791846)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid.grid_scores_, grid.best_params_, grid.best_score_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们选择使用偏小一些的 `gamma`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 4: 调节样本采样方式 subsample 和 colsample_bytree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 28min 26s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "xgb_param_grid = {'subsample':[ 0.1 * i for i in range(6,9)],\n",
    "                      'colsample_bytree':[ 0.1 * i for i in range(6,9)]}\n",
    "\n",
    "\n",
    "grid = GridSearchCV(XGBoostRegressor(eta=0.1, gamma=0.2, num_boost_round=50, max_depth=8, min_child_weight=6),\n",
    "                    param_grid=xgb_param_grid, cv=5, scoring=mae_scorer)\n",
    "grid.fit(train_x, train_y.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([mean: -1185.67108, std: 5.40097, params: {'colsample_bytree': 0.6000000000000001, 'subsample': 0.6000000000000001},\n",
       "  mean: -1184.90641, std: 5.61239, params: {'colsample_bytree': 0.6000000000000001, 'subsample': 0.7000000000000001},\n",
       "  mean: -1183.73767, std: 6.15639, params: {'colsample_bytree': 0.6000000000000001, 'subsample': 0.8},\n",
       "  mean: -1185.09329, std: 7.04215, params: {'colsample_bytree': 0.7000000000000001, 'subsample': 0.6000000000000001},\n",
       "  mean: -1184.36149, std: 5.71298, params: {'colsample_bytree': 0.7000000000000001, 'subsample': 0.7000000000000001},\n",
       "  mean: -1183.83446, std: 6.24654, params: {'colsample_bytree': 0.7000000000000001, 'subsample': 0.8},\n",
       "  mean: -1184.43055, std: 6.68009, params: {'colsample_bytree': 0.8, 'subsample': 0.6000000000000001},\n",
       "  mean: -1183.33878, std: 5.74989, params: {'colsample_bytree': 0.8, 'subsample': 0.7000000000000001},\n",
       "  mean: -1182.93099, std: 5.75849, params: {'colsample_bytree': 0.8, 'subsample': 0.8}],\n",
       " {'colsample_bytree': 0.8, 'subsample': 0.8},\n",
       " -1182.9309918891634)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid.grid_scores_, grid.best_params_, grid.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UODWSQPtWS3McPwOOAv5uGHEM0BpKYmtp9fM2lKHumjVeE5TqqefOdF67zPxj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WwzNF7vynMtvZ0UrzsVzY2VzpM9Hp+YzwLMbKqkExRdJJ7O0AvupB6Pn0zTpvd7ea0VQPLQ2wsA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DXwLOB66lWWpxT5p7eG3VHv+3CwdVVSU5meY+ZY8GvpbkOOBHwPbAAcAraZZvvIxNb1nDc2nO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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x230003a8b00>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 492,
       "width": 862
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, scores =  convert_grid_scores(grid.grid_scores_)\n",
    "scores = scores.reshape(3,3)\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "cp = plt.contourf(xgb_param_grid['subsample'], xgb_param_grid['colsample_bytree'], scores, cmap='BrBG')\n",
    "plt.colorbar(cp)\n",
    "plt.title('Subsampling params tuning')\n",
    "plt.annotate('Optimum', xy=(0.895, 0.6), xytext=(0.8, 0.695), arrowprops=dict(facecolor='black'))\n",
    "plt.xlabel('subsample')\n",
    "plt.ylabel('colsample_bytree')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在当前的预训练模式的具体案例，我得到了下面的结果：\n",
    "\n",
    "`{'colsample_bytree': 0.8, 'subsample': 0.8},\n",
    " -1182.9309918891634)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 5: 减小学习率并增大树个数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "参数优化的最后一步是降低学习速度，同时增加更多的估计量"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we plot different learning rates for a simpler model (50 trees):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6.69 ms, sys: 0 ns, total: 6.69 ms\n",
      "Wall time: 6.55 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "    \n",
    "xgb_param_grid = {'eta':[0.5,0.4,0.3,0.2,0.1,0.075,0.05,0.04,0.03]}\n",
    "grid = GridSearchCV(XGBoostRegressor(num_boost_round=50, gamma=0.2, max_depth=8, min_child_weight=6,\n",
    "                                        colsample_bytree=0.6, subsample=0.9),\n",
    "                    param_grid=xgb_param_grid, cv=5, scoring=mae_scorer)\n",
    "\n",
    "grid.fit(train_x, train_y.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([mean: -1205.85372, std: 3.46146, params: {'eta': 0.5},\n",
       "  mean: -1185.32847, std: 4.87321, params: {'eta': 0.4},\n",
       "  mean: -1170.00284, std: 4.76399, params: {'eta': 0.3},\n",
       "  mean: -1160.97363, std: 6.05830, params: {'eta': 0.2},\n",
       "  mean: -1183.66720, std: 6.69439, params: {'eta': 0.1},\n",
       "  mean: -1266.12628, std: 7.26130, params: {'eta': 0.075},\n",
       "  mean: -1709.15130, std: 8.19994, params: {'eta': 0.05},\n",
       "  mean: -2104.42708, std: 8.02827, params: {'eta': 0.04},\n",
       "  mean: -2545.97334, std: 7.76440, params: {'eta': 0.03}],\n",
       " {'eta': 0.2},\n",
       " -1160.9736284869114)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid.grid_scores_, grid.best_params_, grid.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0cZQt+Stb8leu5K4/TerGQerLp5cBJ9Zn4gbmPwE8a/ur43y8+cCqevgosMT2DfW2uQDN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\nIiIiCpMCLiIiIqIwKeAiIiIiCvP/AU6aDfjYcPChAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5d71520b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eta, y = convert_grid_scores(grid.grid_scores_)\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.title('MAE and ETA, 50 trees')\n",
    "plt.xlabel('eta')\n",
    "plt.ylabel('score')\n",
    "plt.plot(eta, -y)\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`{'eta': 0.2}, -1160.9736284869114` 是目前最好的结果"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现在我们把树的个数增加到100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.5 ms, sys: 0 ns, total: 11.5 ms\n",
      "Wall time: 11.4 ms\n"
     ]
    }
   ],
   "source": [
    "\n",
    "xgb_param_grid = {'eta':[0.5,0.4,0.3,0.2,0.1,0.075,0.05,0.04,0.03]}\n",
    "grid = GridSearchCV(XGBoostRegressor(num_boost_round=100, gamma=0.2, max_depth=8, min_child_weight=6,\n",
    "                                        colsample_bytree=0.6, subsample=0.9),\n",
    "                    param_grid=xgb_param_grid, cv=5, scoring=mae_scorer)\n",
    "\n",
    "grid.fit(train_x, train_y.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([mean: -1231.04517, std: 5.41136, params: {'eta': 0.5},\n",
       "  mean: -1201.31398, std: 4.75456, params: {'eta': 0.4},\n",
       "  mean: -1177.86344, std: 3.67324, params: {'eta': 0.3},\n",
       "  mean: -1160.48853, std: 5.65336, params: {'eta': 0.2},\n",
       "  mean: -1152.24715, std: 5.85286, params: {'eta': 0.1},\n",
       "  mean: -1156.75829, std: 5.30250, params: {'eta': 0.075},\n",
       "  mean: -1184.88913, std: 6.08852, params: {'eta': 0.05},\n",
       "  mean: -1243.60808, std: 7.40326, params: {'eta': 0.04},\n",
       "  mean: -1467.04736, std: 8.70704, params: {'eta': 0.03}],\n",
       " {'eta': 0.1},\n",
       " -1152.2471498726127)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid.grid_scores_, grid.best_params_, grid.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5dyMvrc06ib6F2r7AKvoWavdFsLa9z2qvbnEPXHep3ZWhJws4MzOzTkqF2svp\nW6jtD/yBTQXa7cBXgHsiWFNNtJvzDFwXkZgO/DcwLYLRlRgzM7MKSexC80JN9J1RuyeClZ2Jy6dQ\ngewLOAErgKMi+E3V8ZiZmeVGYidgP/oWatuRijM2L9geq3LSxKdQR4EIQnrxNGrPFXDu48ib85c3\n5y9fvZo7ie0pCrXGWbWXUFwUWCvSrk8/V4yms1su4LrPtcDfAP9adSBmZmZVk9gGeBV9C7UJwGI2\nFWoXpp/LIthYTbSd41OoXUZiO4pLkSdHsKrqeMzMzDpBYiuaL3q7J7CUvn1qv4tgQzXRjhz3wCW5\nF3AA6TTqNyK4rOpYzMzMRpLEFjRf9HZv4EH6FmqLR/P6qC7gklFSwH0YODyi/Xuk5ahX+zhGC+cv\nb85fvro1d2nR28n0LdReCTxG80Vv/1BNtNXxRQyjy7XAP0tsORqmh83MbPRKKyhMpPmit2vYVKD9\nCPgScG+7i97aJp6B61ISdwEfjeDHVcdiZmaWCrWX0XwttWfpu0THPRGsribafHgGbvSpLSfiAs7M\nzDpKYjzNC7UtKAq0XwGLgEvp4KK3toln4LqUxGuBr0Wwf9WxdEq39nFYa5y/vDl/+RpO7iR2pPmi\ntzvQd8Hbe4BHR9Naat2gK2fgJM2hmEV6LCIOSmOfA44GngN+B5wUEU+lfZ8ETgY2AH8VETem8enA\nXGAb4LqI+FiZcXeJ+cCuElMjWFp1MGZmlq+06O2+bF6k7Q/syuaL3t6Yfj7oQq27lToDJ+lwYC0w\nr66A+2PgRxGxUdJngYiIT0raD/gmcCgwCbgZeEVEhKSfA2dExHxJ1wFfjIgb+vnMUTEDByDxNWBh\nBBdUHYuZmXU/ia0prvI8gM1n1XZn80Vvaz/v74VFb7tZV87ARcRtkiY3jN1ct/kz4F3p+THAZRGx\nAVgmaQkwQ9IDwLiImJ+OmwfMApoWcKPMtcCHwQWcmZkV0sUEuwJTKdZOm8amYm0KcD+bCrR56edv\nvarB6FL1RQwnA99KzycCP63b91Aa20Bxg/eaFWm8F9wEXCIxLoKnqw6mbO7ByZvzlzfnr7tIjKVY\nQ61WpE1teP48xd0JlsJXnodTvgP8A8Wit89VE7V1UmUFnKS/A9ZHxLcGPXjo7z0XWJY2VwMLa38x\nSZoJkMN2BE9L370P7vprOPfcquPxtre97W1vj8x2MYv26qPhj3aDr60GpsI3D4ftd4NZ44Hd4PqV\n8OwjMGttBYBRAAAMnUlEQVQBsBTOeRqW/QAu+XYEq2vvV7znKbem7ddB9d/P2/1vJzMpZkvbVvpV\nqCpOoV4TqQcujZ0InAIcFRHPpbFPABER/5K2rwfOAR4AbomIfdP4ccCREXFqP58XMUp64AAkPgJM\nj+CkqmMxM7PWpXt77kHzGbSpgCgu5vsdL86mvfj8wQjWVxC2dVi7dUsnZuCUHsWG9FbgLOCIWvGW\nXA18U9IXKE6R7gPcEREhaY2kGRRXZs6mt3rCrgXOlhjjRlMzs+4isTN9C7Pa9kTgETYvzL5dt73K\nV3pau8peRuRSimnCXSQtp5hR+xQwFrhJEsDPIuK0iLhX0uXAvcB64LTYND14OpsvI3J9mXF3kwju\nl3gCmEFx0ceoJbkHJ2fOX96cv+bSjdf3oPkM2t7AVmw+g7YQuDI9f6ATN2F37npT2VehHt9k+OIB\njj8POK/J+ALgwBEMLTe1uzKM6gLOzKwKaTHbxtmz2vM9gCfYvEi7qu75Ss+iWRV8J4YMSBwO/HsE\nB1cdi5lZbiTGUJzObHaacyqwHZuf5qzvR3sggmcrCNt6RLt1iwu4DKQp/MeAQyJ4sOp4zMy6jcQO\nwF40P805GXiSvhcK1J4/7lk0q4oLuGQ0FnAAEl8Hbo/goqpjKYv7OPLm/OWt2/OXZtF2o/lpzqnA\njhQL2DYr0pZFsK6CsDui23NnA+vmq1BtZFxLcQXuqC3gzKy3SWxLMYvWbNmNvYA1bF6Y3VS3/aiv\n1Lde4hm4TKRL1e8HPgF8xX9RmVlu0i2gXk7/dxcYT7EIe7PTnPdH8EznozYrl0+hJqO1gAOQOAD4\nKvAccEoEiysOycxsMxLbUKww39+pzmdofppzKfCQ/3NqvcYFXDKaCzh48YKG04G/B/4V+PxoWa3b\nfRx5c/7y1mr+6m6k3t/dBV4GLKf53QXuj+CpMuLvZf6zlzf3wPWICF4ALpC4GvgP4D0SH4zgFxWH\nZmajRN2N1PtbdqN2I/VaYfYTYF56viL9PWVmJfIMXMbS/4TfSzETNw84ZzRfaWVmw5f+3tiF4orO\n3YDdKdZIq1+CYwKwguanOZdGsLrzkZuNTj6FmvRSAVcj8TLgfOC1wF9G8MOKQzKzDkvLbOxCUZDt\n1uRn7fkEij60R4CH637WF2nLI9jQ4a9g1pNcwCW9WMDVSLydYpmRm4EzI1hVcUhD4j6OvDl/5UiF\n2UvpvyCr/Xw58BR9C7NHGp83u7OA85cv5y5v7oEzIvi+xP7A/wXukfgocIVXGDfrPumCpJfRf0FW\nG3sZsJq+Bdk9FP9Zq409GsFznf0WZlYVz8CNUhL/h2LJkcXA6RE8VHFIZj1BYkuK2bCBTmPuRjGr\n9iR9Z8gafz4WwfOd/RZm1ik+hZq4gNtEYmvgU8BpwNl4AWCztklsRdE/NtBpzN0o+tBW0n9BVnv+\n+GhZAsjM2ucCLnEB11cuCwC7jyNvueYv/UenVpg1K8hqP3cGnmDg/rKHgSdyvAAg1/yZc5c798BZ\nvyL4lcTrgTOA26XRtQCwWTPpjgATGPyqzB2Bx+hbkN3eMPaE1zczs27hGbgeIzEF+E+KHh0vAGzZ\nSTc8H6y/bHdge+BRBr8qc6VbC8ysKj6FmriAG1xayPN9wOfxAsDWJSS2Z/D+st2AbWmyNAZ9i7Tf\nuzAzs27nAi5xAde6blsA2H0ceesvfxLjGLggqz0fy8AFWe3nKi+NM/L85y9fzl3e3ANnQxbB48Dx\naQHgiyVuAj6e2wLAVr40a7sdsEP/jwsOkziavkXaGJoXYgvZvFhb48LMzKw1noEz4MVZkvOAY8EL\nAOcsLRC7PQMWWy09xtU93w54Fljbz+MZiis0m82ePe3fS2ZmzfkUauICbnjS1apfBX6DFwAuXVpb\nrL7Yqi+a2n1sQ1FQ9Vdstfp4uu75Ol+BaWY28rqygJM0B3gH8FhEHJTG3g18BtgXODQi7kzjk4H7\ngF+nl/8sIk5L+6YDcyn+YbouIj42wGe6gBumugWAzwLWUMyiPNTws/75kyMxw9LNfRzpFOJYWput\nGspjSwYunNp5rKtixqub82eDc/7y5dzlrVt74C4GvkRxpWPN3cCfUixl0ei3ETG9yfhFwAciYr6k\n6yS9JSJuGPlwDSDdT/EciX+kWG5kd2Bi3c/DG8a2k3iE5sXdi2MRrB3kow8Gbh1u/KnY2pb2ThUO\n9NhI67NWj7Zw7FrguVF0enFE8meVcf7y5dz1oFILuIi4Lc2s1Y/9BkBSs2qzz5ikCcC4iJifhuYB\nswAXcCVLq8k/lB7z+ztOYjs2Na3Xirrdgen1YxLrGXA2b6+9JQ6h/T6t2mN7irtOtDpj9SCDz3w9\n4/tRDmrnqgOwYXH+8uXc9aBuuwp1iqQ7KU7bfToibqP4x39F3TEr0ph1ibSG3O/So6k0K7YTmxd4\nE4FXAkcV2+/eh2J2b6Bi6/F+xuuLr2fcr2VmZqNZNxVwDwN7RsSq1PN2laT9qg7KRkY6Tbg6Pe5p\ndoz0/+ZGfO7ETsZlI2pK1QHYsEypOgBr25SqA7DO65oCLiLWQ7H+WETcKel3wDSK02x71B06KY31\nS9Jo6SnqOZJOqDoGa5/zlzfnL1/OXe/pRAEnmvS21e0rnki7Ar+PiI2SpgL7AEsjYrWkNZJmUPRh\nzQYu6O/DfAWqmZmZjXalFnCSLgVmArtIWg6cQzHL9iVgV+BaSQsj4m3AEcC5kp6nuNrvQxGxOr3V\n6Wy+jMj1ZcZtZmZm1s1G3UK+ZmZmZqPdmKoDaIekt0r6taTFkv62n2MukLRE0kJJB3c6RuvfYPmT\n9EpJt0t6VtLfVBGj9a+F/B0v6ZfpcZukA6uI0/pqIXfHpLzdJekXko6qIk5rrpV/+9Jxh0paL+nY\nTsZn/Wvhz96RklZLujM9zh70PXObgZM0BlgMvJHiytX5wHER8eu6Y94GnBERb5f0WuCLEXFYJQHb\nZlrM367AZIr1/lZFxL9VEav11WL+DgPui4g1kt4KfMZ//qrXYu62i4h16fmBwHcjYp8q4rXNtZK/\nuuNuAv4AfC0irux0rLa5Fv/sHQmcGRHHtPq+Oc7AzQCWRMQD6crVy4B3NhzzTtLdHyLi58BOkl7e\n2TCtH4PmLyJWRsQCYEMVAdqAWsnfzyJiTdr8GV63sVu0krt1dZs7ACs7GJ8NrJV/+wA+AnyHYs1M\n6w6t5m5IF2HmWMBNpFg5v6bZwr6NxzzU5BirRiv5s+411Px9EPhBqRFZq1rKnaRZku4DrgM+2qHY\nbHCD5k/S7sCsiLiIIRYDVqpW/958XWr7+n4r6+B2zTpwZja6SHoDcBLF3TUsExFxFcVC6ocDX6e4\nW4rl4Xygvr/KRVw+FlDczGBdagO7imIt3H7lOAP3ELBn3XazhX2HvPivdUwr+bPu1VL+JB0E/Bdw\nTESs6lBsNrAh/dlLtzLcUtIuZQdmLWklf68BLpN0P/Bu4MuSWu6pstIMmruIWFtrYYiIHwBbSRo/\n0JvmWMDNB/aRNFnSWOA44OqGY66mWPC31lC9OiIe62yY1o9W8lfP/4PsLoPmT9KewBXA+yOi3/vj\nWse1kru9655PB4iIJzsapfVn0PxFxNT02IuiD+60iBjo71frjFb+7L287vkMiotMfz/Qm2Z3CjUi\nXpB0BnAjRQE6JyLuk/ShYnf8V0RcJ+lPJP0WeIbiNI51gVbyl34j/wIYB2yU9FfAfhGxtrrIDVrL\nH/BpYDxwoSQB6yNiRnVRG7Scu3dJmg08T/F353uqi9jqtZi/zV7S8SCtqRZz925JpwLrKa4gHvTP\nXnbLiJiZmZn1uhxPoZqZmZn1NBdwZmZmZplxAWdmZmaWGRdwZmZmZplxAWdmZmaWGRdwZmZmZplx\nAWdmNgBJn6w6BjOzRl4HzsxsAJKejohxVcdhZlYvuzsxmJmVRdJ7gY8CWwF3AE8B20q6E7gnIt4v\n6bsU9zLcBvhiRHy1soDNrGe5gDMzAyS9iuL2Nf8n3frmy8DdwLqImF536EkRsVrSNsB8SVdExKoq\nYjaz3uUCzsys8EZgOkVRJooZtsebHPcxSbPS80nAKyhm68zMOsYFnJlZQcAlEfF3mw1KH697fiRw\nFPDaiHhO0i0UhZ6ZWUf5KlQzs8IPgXdLeimApJdI2hN4XtIW6ZidgFWpeHsVcFhFsZpZj/MMnJkZ\nEBH3STobuFHSGOB54HTgv4C7JS0ATgY+LOke4DfATysL2Mx6mpcRMTMzM8uMT6GamZmZZcYFnJmZ\nmVlmXMCZmZmZZcYFnJmZmVlmXMCZmZmZZcYFnJmZmVlmXMCZmZmZZcYFnJmZmVlm/j9OuKD/Fnjk\nhwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5d715c7410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eta, y = convert_grid_scores(grid.grid_scores_)\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.title('MAE and ETA, 100 trees')\n",
    "plt.xlabel('eta')\n",
    "plt.ylabel('score')\n",
    "plt.plot(eta, -y)\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "学习率低一些的效果更好"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 21.9 ms, sys: 34 µs, total: 22 ms\n",
      "Wall time: 22 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "xgb_param_grid = {'eta':[0.09,0.08,0.07,0.06,0.05,0.04]}\n",
    "grid = GridSearchCV(XGBoostRegressor(num_boost_round=200, gamma=0.2, max_depth=8, min_child_weight=6,\n",
    "                                        colsample_bytree=0.6, subsample=0.9),\n",
    "                    param_grid=xgb_param_grid, cv=5, scoring=mae_scorer)\n",
    "\n",
    "grid.fit(train_x, train_y.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在增加树的个数呢？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([mean: -1148.37246, std: 6.51203, params: {'eta': 0.09},\n",
       "  mean: -1146.67343, std: 6.13261, params: {'eta': 0.08},\n",
       "  mean: -1145.92359, std: 5.68531, params: {'eta': 0.07},\n",
       "  mean: -1147.44050, std: 6.33336, params: {'eta': 0.06},\n",
       "  mean: -1147.98062, std: 6.39481, params: {'eta': 0.05},\n",
       "  mean: -1153.17886, std: 5.74059, params: {'eta': 0.04}],\n",
       " {'eta': 0.07},\n",
       " -1145.9235944370419)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid.grid_scores_, grid.best_params_, grid.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2F18x8ZSjWzeVl4VILAasxoLF2auAtzdsSxqxOLsNmGfzbHefSURE9AOJlwHT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\nWERERESP/X/YJzKTDO4ELgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5d7127ca50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eta, y = convert_grid_scores(grid.grid_scores_)\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.title('MAE and ETA, 200 trees')\n",
    "plt.xlabel('eta')\n",
    "plt.ylabel('score')\n",
    "plt.plot(eta, -y)\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.26 ms, sys: 22 µs, total: 1.28 ms\n",
      "Wall time: 1.07 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "# Final XGBoost model\n",
    "\n",
    "\n",
    "bst = XGBoostRegressor(num_boost_round=200, eta=0.07, gamma=0.2, max_depth=8, min_child_weight=6,\n",
    "                                        colsample_bytree=0.6, subsample=0.9)\n",
    "cv = bst.kfold(train_x, train_y, nfold=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "test-mae-mean     1146.997852\n",
       "test-mae-std         9.541592\n",
       "train-mae-mean    1036.557251\n",
       "train-mae-std        0.974437\n",
       "Name: 199, dtype: float64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "我们看到200棵树最好的ETA是0.07。正如我们所预料的那样，ETA和num_boost_round依赖关系不是线性的，但是有些关联。\n",
    "\n",
    "们花了相当长的一段时间优化xgboost. 从初始值: **1219.57**. 经过调参之后达到 **MAE=1171.77**.\n",
    "\n",
    "我们还发现参数之间的关系` ETA `和` num_boost_round `：\n",
    "\n",
    "* 100 trees, `eta=0.1`: **MAE=1152.247**\n",
    "* 200 trees, `eta=0.07`: **MAE=1145.92**\n",
    "\n",
    "\n",
    "`XGBoostRegressor(num_boost_round=200, gamma=0.2, max_depth=8, min_child_weight=6, colsample_bytree=0.6, subsample=0.9, eta=0.07).\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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   "language": "python",
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   "codemirror_mode": {
    "name": "ipython",
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   "pygments_lexer": "ipython3",
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